Question: Evaluate C F(r) dr counterclockwise around the boundary C of the region R by Greens theorem, where F = [-e -x cos y,

Evaluate ∫C F(r) • dr counterclockwise around the boundary C of the region R by Green’s theorem, where

F = [-e-x cos y, -e-x sin y], R the semidisk x2 + y2 ≤ 16, x ≥ 0

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